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Finding the Fourth Proportional to 65,103, 89,831.34 and 40,900.20

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Solution

The fourth proportional to 65,103, 89,831.34 and 40,900.20 is: 56,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,103 : 89,831.34 = 40,900.20 : x
  2. Step 2: Convert to fraction form
    65,103/89,831.34 = 40,900.20/x
  3. Step 3: Cross multiply
    65,103x = 89,831.34 × 40,900.20
  4. Step 4: Simplify right side
    65,103x = 3,674,119,772.27
  5. Step 5: Solve for x
    x = 3,674,119,772.27/65,103
  6. Step 6: Final answer
    x = 56,435.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.